When is the Haar measure a Pietsch measure for nonlinear mappings?

We show that, as in the linear case, the normalized Haar measure on a compact topological group $G$ is a Pietsch measure for nonlinear summing mappings on closed translation invariant subspaces of $C(G)$. This answers a question posed to the authors by J. Diestel. We also show that our result applies to several well-studied classes of nonlinear summing mappings. In the final section some problems are proposed

All-optical 3D atomic loops generated with Bessel light fields

The propagation invariance of Bessel beams as well as their transversal structure are used to perform a comparative analysis of their effect on cold atoms for four different configurations and combinations thereof. We show that, even at temperatures for which the classical description of the atom center of mass motion is valid, the interchange of momentum, energy and orbital angular momentum between light and atoms yields efficient tools for all-optical trapping, transporting and, in general, manipulating the state of motion of cold atoms.Comment: 13 pages, 9 figure

A space-time DPG method for the wave equation in multiple dimensions

A space-time discontinuous Petrov–Galerkin (DPG) method for the linear wave equation is presented. This method is based on a weak formulation that uses a broken graph space. The well-posedness of this formulation is established using a previously presented abstract framework. One of the main tasks in the verification of the conditions of this framework is proving a density result. This is done in detail for a simple domain in arbitrary dimensions. The DPG method based on the weak formulation is then studied theoretically and numerically. Error estimates and numerical results are presented for triangular, rectangular, tetrahedral, and hexahedral meshes of the space-time domain. The potential for using the built-in error estimator of the DPG method for an adaptive mesh refinement strategy in two and three dimensions is also presentedThis work was partly supported by AFOSR grant FA9550–17–1–0090. Numerical studies were partially facilitated by the Portland Institute of Sciences (PICS) established under NSF grant DMS–1624776

Initiating Change of People With Criminal Justice Involvement Through Participation in a Drama Project: An Exploratory Study

Introduction: Innovative and interdisciplinary approaches are needed to improve mental health and psychosocial outcomes of people with criminal justice involvement and their families. Aim of the study was to assess effects of the participation in a theatre project on the mental health problems of people with criminal justice involvement and relatives. Methods: We conducted structured diagnostic interviews and in-depth qualitative interviews with five participants performing Shakespeare's Richard III in Chile. Three participants had been imprisoned prior to the project, and two were the parents of a person who died in a prison fire. Qualitative interviews followed a topic guide. Data were transcribed, and a six-phase approach for thematic analysis of the data was used. Results: Substance use disorder or major depression was identified in all the participants. Participation in the theatre project was experienced by the respondents as having a positive effect on the mental health conditions. The research registered the positive experiences of role identification, emotional expression, commitment with group processes, improved skills to socially interact, to be heard by the general public and society, and positive perceptions of the audience (including relatives). Discussion: The study raises the possibility that there may be improvements of depression and substance use problems through the participation of people with criminal justice involvement in a drama project. Wider scale research is recommended on the possible effects. The approach may be an alternative to psychotherapy and medication for some individuals

Sharp values for the constants in the polynomial Bohnenblust-Hille inequality

In this paper we prove that the complex polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb C}^2$ is exactly $\sqrt[4]{\frac{3}{2}}$. We also give the exact value of the real polynomial Bohnenblust-Hille constant for $2$-homogeneous polynomials in ${\mathbb R}^2$. Finally, we provide lower estimates for the real polynomial Bohnenblust-Hille constant for polynomials in ${\mathbb R}^2$ of higher degrees.Comment: 16 page

Application of the 137 Cs technique to quantify soil redistribution rates in paleohumults from Central-South Chile

The objective of the present study was to evaluate the applicability of the 137Cs technique in obtaining spatial distributed information on mean soil redistribution rates in Central-South Chile. For this purpose four fields of Palehumult soil and contrasting land use and management were selected in the Coastal Mountain Range of the 9th Region: Crop fields under subsistence and commercial management and non-permanent prairies under subsistence and commercial management. The spatial distribution of the soil redistribution rates obtained by the 137Cs method was similar to the one obtained by pedological observations. Also, annual sediment fluxes measured at experimental plots were similar to the erosion rates determined by the 137Cs method at adjacent points. The 137Cs technique is seen as an efficient method to obtain long-term soil redistribution rates under the climatic conditions and the soil type selected in Chile. In the future, it is necessary to study the applicability of the method under other climatic conditions and soil types occurring in Chile in which erosion is not so evident, and to adjust the method to optimise costs and benefits

Introduced population of ring-necked parakeets Psittacula krameri in Madeira Island, Portugal - call for an early action

Research ArticleAlien invasive species are major drivers of ecological change worldwide, being especially detrimental in oceanic islands, where they constitute one of the greatest threats to the survival of native species. Ring-necked parakeets Psittacula krameri (Scopoli, 1769) are popular pets and individuals escaped from captivity have formed multiple self-sustainable populations outside their native range. For over ten years, free-ranging ring-necked parakeets have regularly been observed in Madeira Island (Portugal) and strong evidence suggests that they have breed multiple times in Funchal, the capital of the island. Herein, we assess the current status of Psittacula krameri in Madeira and discuss the possible ecological and economic impacts of established populations of this non-native parakeet. Given the initial stage of the incursion, we advocate for a “rapid response” intervention aimed at preventing the spread of this potential invaderinfo:eu-repo/semantics/publishedVersio

'Maybe It Is Only in Prison That I Could Change Like This' The Course of Severe Mental Illnesses During Imprisonment - A Qualitative 3-Year Follow-Up Study From Chile

Background: Severe mental illness (SMI) among imprisoned individuals is a global health concern. Quantitative research indicates on average mental health symptom improvements during imprisonment, however, it cannot reflect multifaceted factors influencing the course of SMI. This study aimed to explore the subjective course of SMI during imprisonment and to identify influencing factors. Methods: The study has a 3-year-follow-up design of imprisoned individuals in Chile. We conducted semi-structured interviews with 10 men and 9 women at follow-up who had either major depression or psychosis (severe mental illnesses) at baseline. We included individuals who deteriorated, remained stable or improved their mental health according to quantitative assessments. We explored the subjective course of their mental health condition during the follow-up period. Qualitative data was transcribed and coded using NVivo Software for quantitative content analysis. Qualitative data was also manually coded and was subsequently analyzed using the thematic analysis method with an inductive approach. We developed the final themes using the results of this analysis in combination with the inclusion criteria. Results: The mental health of 10 individuals subjectively improved, 6 experienced deteriorations, and 3 did not perceive any change. Good infrastructure, structure/occupation, intrapersonal resources (will to change, spirituality) and supportive relationships were identified as factors improving mental health. Factors deteriorating mental health were identified as bad infrastructure (e.g., no running water and bad housing conditions) and crowding, lack of psychological treatment, exposure to violence, interpersonal stress (conflictive relationships and separation from family), perceived injustice through sentencing, intrapersonal stressors and previous medical conditions. Discussion: SMI in prison can improve in a supportive environment under certain conditions. These conditions include the improvement of infrastructure (housing and healthcare), the opportunity to work or study, protection from violence during imprisonment, and to develop intrapersonal resources and family relationships. To reduce SMI in prisons the improvement of these conditions should become a priority